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Finding the Third Proportional to 668,616 and 1,446,206

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Solution

The third proportional to 668,616 and 1,446,206 is: 3,128,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,616 : 1,446,206 = 1,446,206 : x
  2. Step 2: Convert to fraction form
    668,616/1,446,206 = 1,446,206/x
  3. Step 3: Cross multiply
    668,616x = 1,446,206 × 1,446,206
  4. Step 4: Simplify right side
    668,616x = 2,091,511,794,436
  5. Step 5: Solve for x
    x = 2,091,511,794,436/668,616
  6. Step 6: Final answer
    x = 3,128,121.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.